The 3rd Workshop for
Young Symplectic Geometers

February 18–20, 2022

Yonsei University, Seoul, Korea

sponsored by

National Research Foundation of Korea

QSMS Center for Quantum Structures in Modules and Spaces

Commemorative Pictures

Sangwook's Lectures

Seungwon's Lectures

Joontae's Lectures

Invited Speakers

  • Joontae Kim (KIAS)
  • Seungwon Kim (IBS-CGP)
  • Sangwook Lee (Soongsil University)

Participants

  • Byung Hee An (Kyungpook National University)
  • Youngjin Bae (Incheon National University)
  • Yunhyung Cho (Sungkyunkwan University)
  • Taekgyu Hwang (Ajou University)
  • Joontae Kim (KIAS)
  • Seungwon Kim (IBS-CGP)
  • Sangwook Lee (Soongsil University)
  • Jiyeon Moon (Seoul National University)
  • Wonbo Jeong (Seoul National University)
  • Donghoon Jang (Pusan National University)
  • Sangjin Lee (IBS-CGP)
  • Myeonggi Kwon (Sunchon National University)

Organizers

  • Byung Hee An (Kyungpook National University)
  • Youngjin Bae (Incheon National University)
  • Yunhyung Cho (Sungkyunkwan University)
  • Hansol Hong (Yonsei University)

Venue

Talk Schedule

February 18 (Fri) February 19 (Sat) February 20 (Sun)
10:00 – 10:30 Arrival
and
Registration		 Joontae Kim (I) Seungwon Kim (III)
10:30 – 11:00 Question Session
11:00 – 11:30 Seungwon Kim (II) Joontae Kim (III)
11:30 – 12:00 Question Session Closing Remark
12:00 – 14:00 Lunch
14:00 – 14:30 Opening Remark Departure
14:30 – 15:00 Sangwook Lee (I) Sangwook Lee (III)
15:00 – 15:30 Question Session
15:30 – 16:00 Sangwook Lee (II) Joontae Kim (II)
16:00 – 16:30 Question Session
16:30 – 17:00 Seungwon Kim (I) Free Discussion
&
Question Session
17:00 – 17:30 Question Session
18:00 - Workshop Dinner

* The schedule may vary.

Title & Abstract

Abstracts

Speaker
Joontae Kim (KIAS)
Title
Lagrangian knot problem in four-manifolds (i) Knottedness
Abstract
We survey the Lagrangian knot problem asking whether two given Lagrangian submanifolds are isotopic. As the first part, we concerns the knottedness of Lagrangian tori, namely finding exotic Lagrangian tori. In particular, we illustrate geometric ideas of the Chekanov torus and Vianna tori, which are known as exotic Lagrangian tori in symplectic topology.
Title
Lagrangian knot problem in four-manifolds (ii) Unknottedness
Abstract
If two Lagrangians are isotopic, then they are called unknotted. We discuss applications of Gromov's foliation theorems and the neck-stretching argument. In particular, the unknottedness of Lagrangian spheres in del Pezzo surfaces is included.
Title
Real Lagrangian surfaces in four-manifolds
Abstract
We explore the classification of real Lagrangian surfaces in symplectic del Pezzo surfaces. By a real Lagrangian, we mean a Lagrangian submanifolds that is the fixed point set of an anti-symplectic involution. In this talk, we exhibit a genuine difference between monotone and real Lagrangians.
Speaker
Seungwon Kim (IBS-CGP)
Title
Surfaces in 4-manifolds
Abstract
In this series of talks, I will talk about surfaces embedded in 4-manifolds. I will talk about various methods to generate different embedding of surfaces and diagrammatic methods to represent such surfaces. In particular, I will introduce the trisection, a recently developed method to represent 4-manifolds, and talk about related concepts.
Speaker
Sangwook Lee (Soongsil University)
Title
Mirror symmetry on manifolds with group actions
Abstract
We review the theory of orbifolds and maps between them, to understand the mirror symmetry of orbifolds. In the last part of the series, we discuss how we can understand the mirror symmetry of "stringy pairs" whose invariants give orbifolds.

Accommodation

Contact

  • Byung Hee An (anbyhee_at_knu.ac.kr)
  • Youngjin Bae (yjbae_at_inu.ac.kr)
  • Yunhyung Cho (yunhyung_at_skku.ac.kr)
NRF
QSMS

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